English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We present a method to construct a large family of Lagrangian surfaces incomplex Euclidean plane by using Legendre curves in the 3-sphere and in theanti de Sitter 3-space or, equivalently, by using spherical and hyperboliccurves, respectively. Among this family, we characterize minimal, constant meancurvature, Hamiltonian-minimal and Willmore surfaces in terms of simpleproperties of the curvature of the generating curves. As applications, weprovide explicitly conformal parametrizations of known and new examples ofminimal, constant mean curvature, Hamiltonian-minimal and Willmore surfaces incomplex Euclidean plane.

Lagrangian surfaces in complex Euclidean plane via spherical and hyperbolic curves